scholarly journals Peristaltic pumping of Ellis fluid through a flexible tube with complete slip effects

2020 ◽  
Vol 17 (2) ◽  
pp. 79-88
Author(s):  
R. Saravana ◽  
S. Sreenadh ◽  
P. Rajesh Kumar ◽  
V. Ramesh Babu
Keyword(s):  
Axisymmetric Flow ◽  
Pressure Rise ◽  
Shear Thickening ◽  
Velocity Slip ◽  
Stream Line ◽  
Long Wavelength ◽  
Flexible Tube ◽  
Shear Thinning Fluids ◽  
Peristaltic Pumping ◽  
Slip Effects

The paper investigates the role of complete velocity slip on the axisymmetric peristaltic transport of Ellis fluid through a uniform flexible tube considering the long wavelength and tiny Reynolds number assumptions. The equations governing the axisymmetric flow are solved and provided the analytical expressions for axial velocity, stream function, pressure difference for shear thickening and shear thinning fluids and the effect of emerging parameters on the pressure rise with time averaged flux and stream line patterns have been discussed graphically. The trapping phenomenon results showed that the size of trapping bolus enhances with increasing values of first and second slip parameters.

Peristaltic Flow of a Jeffery Fluid with Heat Transfer in an Inclined Porous Tube under the Influence of Slip and Variable Viscosity

2019 ◽  
Vol 393 ◽  
pp. 16-30 ◽  
Author(s):  
Gudekote Manjunatha ◽  
Hanumesh Vaidya ◽  
Choudhari Rajashekhar ◽  
K.V. Prasad
Keyword(s):  
Heat Transfer ◽  
Frictional Force ◽  
Variable Viscosity ◽  
Pressure Rise ◽  
Velocity Slip ◽  
Slip Parameter ◽  
Porous Tube ◽  
Closed Form Solutions ◽  
Long Wavelength ◽  
Frictional Forces

The present paper investigates the role of heat transfer on peristaltic transport of Jeffery liquid in a porous tube. The effect of variable viscosity and slip impacts are taken into account. The closed-form solutions are obtained with the help of long wavelength and small Reynolds number. The results of physiological parameters on velocity, pressure rise, frictional force, trapped bolus, and temperature are plotted graphically. It is seen that the pressure rise and the frictional forces decline with an expansion in the viscosity parameter. The study further demonstrates that an increase in the value of the slip parameter significantly alters the pressure rise, frictional force, and temperature. Moreover, the volume of trapped bolus increases with an increase in the value of the velocity slip parameter.

scholarly journals Entropy Analysis of an MHD Synthetic Cilia Assisted Transport in a Microchannel Enclosure with Velocity and Thermal Slippage Effects

Coatings ◽  
2020 ◽  
Vol 10 (4) ◽  
pp. 414
Author(s):  
Sufian Munawar ◽  
Najma Saleem
Keyword(s):  
Flow Direction ◽  
Pressure Rise ◽  
Velocity Slip ◽  
Fluid Temperature ◽  
Thermal Slip ◽  
Entropy Analysis ◽  
Slip Effects ◽  
The Heat Transfer Coefficient ◽  
Increasing Function ◽  
Perturbation Solutions

The magnitude of shear stress at the ciliated wall is considered as the measure of efficiency of cilia beatings as it describes the momentum transfer between the medium and the cilia. Under high shear rate, some non-Newtonian fluids behave as visco-inelastic fluids. We consider here a ciliated channel coated with Prandtl fluid, a visco-inelastic fluid, with Hartmann layer under momentum and thermal slip effects. The flow in the channel is produced due to beatings of cilia that obey an elliptic path of motion in the flow direction. An entropy analysis of the flow is also conducted in wave frame. After introducing lubrication approximations in the governing equation, the perturbation solutions are calculated. The data for pressure rise per metachronal wavelength and frictional force at the ciliated wall are obtained by numerical integration. The analysis reveals that the higher values of cilia length and velocity slip parameters support fluid flow near the channel wall surface. Fluid temperature is an increasing function of thermal slip but a decreasing function of cilia length and slip parameters. Entropy in the channel can be minimized with an increase in cilia length and slip effect at the boundary. The magnitude of the heat transfer coefficient decreases by taking the substantial slippage and tiny cilia in length at the microchannel wall.

scholarly journals Slip Effects on Peristaltic Transport in an Inclined Channel with Mass Transfer and Chemical Reaction

2013 ◽  
Vol 10 (1) ◽  
pp. 41-58 ◽  
Author(s):  
T. Hayat ◽  
Humaira Yasmin ◽  
S. Asghar ◽  
Awatif A. Hendi
Keyword(s):  
Mass Transfer ◽  
Chemical Reaction ◽  
Wave Train ◽  
Longitudinal Velocity ◽  
Pressure Rise ◽  
Asymmetric Channel ◽  
Long Wavelength ◽  
Slip Effects ◽  
Inclined Asymmetric Channel ◽  
Pumping And Trapping

An analysis is carried out for the peristaltic flow in an inclined asymmetric channel when no-slip condition does not hold. The whole analysis has been carried out in the presence of mass transfer and chemical reaction. The channel asymmetry is generated because of peristaltic wave train on the walls through different amplitudes and phases. Long wavelength and low Reynolds number assumption is adopted in the whole mathematical analysis. Expressions for the stream function and longitudinal pressure gradient have been developed. Numerical integration is performed for the analysis of pressure rise per wavelength. Longitudinal velocity, pumping and trapping phenomena are analyzed in detail via plots.

scholarly journals Exact Solution for Peristaltic Flow of Jeffrey Fluid Model in a Three Dimensional Rectangular Duct having Slip at the Walls

2014 ◽  
Vol 11 (1-2) ◽  
pp. 81-90 ◽  
Author(s):  
Arshad Riaz ◽  
S. Nadeem ◽  
R. Ellahi ◽  
A. Zeeshan
Keyword(s):  
Exact Solution ◽  
Fluid Model ◽  
Rectangular Channel ◽  
Three Dimensional ◽  
Pressure Rise ◽  
Peristaltic Flow ◽  
Jeffrey Fluid ◽  
Long Wavelength ◽  
Peristaltic Pumping ◽  
Stream Functions

In the present article, we tried to develop the exact solutions for the peristaltic flow of Jeffrey fluid model in a cross section of three dimensional rectangular channel having slip at the peristaltic boundaries. Equation of motion and boundary conditions are made dimensionless by introducing some suitable nondimensional parameters. The flow is considered under the approximations of low Reynolds number and long wavelength. Exact solution of the obtained linear boundary value problem is evaluated. However, the expression for pressure rise is calculated numerically with the help of numerical integration. All pertinent parameters are discussed through graphs of pressure rise, pressure gradient, velocity and stream functions. It is found that presence of slip at the walls reduces the flow velocity but increases the peristaltic pumping characteristics.

Peristaltic Pumping in a Circular Tube in the Presence of an Eccentric Catheter

1995 ◽  
Vol 117 (4) ◽  
pp. 448-454 ◽  
Author(s):  
Ramachandra Rao Adabala ◽  
Usha Srinivasan
Keyword(s):  
Reynolds Number ◽  
Coordinate System ◽  
Circular Tube ◽  
Low Reynolds Number ◽  
Pressure Rise ◽  
Peristaltic Wave ◽  
Maximum Pressure ◽  
Long Wavelength ◽  
Asymmetric Deformation ◽  
Peristaltic Pumping

The influence of an eccentrically inserted catheter on the peristaltic pumping in a tube is investigated under long wavelength, low Reynolds number assumptions. The radially asymmetric deformation of the wall arising through an eccentrically inserted catheter is taken into consideration by choosing an appropriate bipolar coordinate system. The effect of the position and size of the catheter on pumping characteristics is studied. The best performance of pumping is noticed at a certain position of the catheter. The size of the catheter, when placed eccentrically, alters the pressure signature significantly inside the bolus, unlike the concentric case discussed by Lykoudis and Roos (1971). Further, the maximum pressure rise in one period of the peristaltic wave is observed to decrease with an increase in the eccentricity.

Effects of Heat Transfer on Peristaltic Transport of a Bingham Fluid through an Inclined Tube with Different Wave Forms

2019 ◽  
Vol 392 ◽  
pp. 158-177 ◽  
Author(s):  
Hanumesh Vaidya ◽  
Choudhari Rajashekhar ◽  
Gudekote Manjunatha ◽  
K.V. Prasad
Keyword(s):  
Heat Transfer ◽  
Plug Flow ◽  
Pressure Rise ◽  
Velocity Slip ◽  
Bingham Fluid ◽  
Closed Form Solutions ◽  
Long Wavelength ◽  
Inclined Tube ◽  
Wave Forms ◽  
Velocity Pressure

The present study investigates the effects of slip and heat transfer on peristaltic mechanism of Bingham fluid in an inclined tube. The sinusoidal, multi-sinusoidal, triangular, square and trapezoidal wave forms are considered. The analysis has been carried out under the assumptions of long wavelength and small Reynold's number approximations. The closed-form solutions are obtained for velocity, plug flow velocity, pressure gradient, streamlines, and temperature. The numerical integration is employed to investigate the effects of pressure rise and frictional force. The influence of relevant parameters on physiological quantities of interest is analyzed and discussed through graphs. The study reveals that velocity and thermal slip have a decreasing effect on velocity and temperature. Further, it is noticed that the volume of trapped bolus increases for increasing values of velocity slip parameter.

Creeping Flow of Phan-Thien–Tanner Fluids in a Peristaltic Tube With an Infinite Long Wavelength

2009 ◽  
Vol 76 (6) ◽  
Author(s):  
Abd El Hakeem Abd El Naby
Keyword(s):  
Friction Force ◽  
Pressure Rise ◽  
Peristaltic Flow ◽  
Creeping Flow ◽  
Physical Parameters ◽  
Long Wavelength ◽  
Ptt Model ◽  
Peristaltic Pumping ◽  
Parameters Of Interest ◽  
Good Agreement

In this study both linearized and the exponential forms of the Phan-Thien–Tanner model (PTT) are used to simulate the peristaltic flow in a tube. The solutions are investigated under zero Reynolds number and infinitely long wavelength assumptions. Computational solutions are obtained for pressure rise and friction force. The results of the average chyme velocity in the small intestine show that the PTT model is in good agreement with the experimental results, as shown in Table 1. Also, the magnitude of pressure rise and friction force of the exponential PTT model are smaller than in linear PTT model for different values of flow rate. The peristaltic pumping and the augmented pumping are discussed for various values of the physical parameters of interest. The pressure rise and friction force of PTT were compared with other studies in both Newtonian and non-Newtonian cases.

Numerical solution of peristaltic transport of an Oldroyd 8-constant fluid in a circular cylindrical tube

2009 ◽  
Vol 87 (9) ◽  
pp. 1047-1058 ◽  
Author(s):  
N. Ali ◽  
Y. Wang ◽  
T. Hayat ◽  
M. Oberlack
Keyword(s):  
Fluid Model ◽  
Flow Characteristics ◽  
Pressure Rise ◽  
Cylindrical Tube ◽  
Shear Thickening ◽  
Shear Thinning ◽  
Problem Definition ◽  
Shear Thinning Fluids ◽  
Strong Shear ◽  
Circular Cylindrical Tube

The present paper is concerned with the peristaltic flow of a non-Newtonian fluid in circular cylindrical tube. Long wavelength and low Reynolds number approximations are adopted in the problem definition. The non-Newtonian behaviour of the fluid is characterized by the constitutive equation of an Oldroyd 8-constant fluid. The governing nonlinear equation and boundary conditions are solved numerically by a suitable finite-difference method with an iterative scheme. It is seen that shear-thinning and shear-thickening phenomena can be explained through the chosen fluid model. The interaction of shear-thinning and shear-thickening effects with peristaltic motion is studied in detail with particular focus on the basic features of peristalsis such as flow characteristics, pumping characteristics, and trapping. It is found that pressure rise per wavelength against which peristalsis has to work as a positive displacement pump decreases in going from shear-thickening to shear-thinning fluids. Moreover, for strong shear-thinning fluids trapping does not appear. However, a trapped bolus occurs for a weak shear-thinning fluid and its size increases as the fluid is changing from shear thinning towards weak shear thickening. For strong shear-thickening fluids such increase in the size and circulation of bolus stops.

A comparative study of Cu nanoparticles under slip effects through oblique eccentric tubes, a biomedical solicitation examination

2019 ◽  
Vol 97 (1) ◽  
pp. 63-81 ◽  
Author(s):  
Iqra Shahzadi ◽  
S. Nadeem
Keyword(s):  
Comparative Study ◽  
Copper Nanoparticles ◽  
Pressure Rise ◽  
Slip Condition ◽  
Partial Slip ◽  
Eccentric Cylinders ◽  
Peristaltic Pumping ◽  
Slip Effects ◽  
The Comparative Study ◽  
Good Agreement

The particular mechanical, chemical, and thermodynamic properties of nanofluids build up a subject of immense interest for researchers of all areas. Such types of fluids have special significance in biomedical research due to their novel and immeasurable applications the in latest biomedical solicitation examination, such as drug delivery. Therefore, the focus of this study is to investigate the comparative study of copper nanoparticles under slip effects through oblique eccentric cylinders. For peristaltic pumping, an appropriate model is presented and its application is urged because of the way that the thread infusion inside the human body empowers creation of a methodology for restorative inserting with the slightest possible surgical injury. The outer lying tube has a wave of sinosiodual nature whereas the inner thread is of velocity V. Lubrication approach is used to calculate the dimensionless expressions for temperature and velocity profile. The inner tube satisfied no-slip condition while the outer tube has partial slip condition. The innovation with different sundry parameters is also presented via graphs. The attributes of this study are presented in the last section and a good agreement is found with existing literature. Significant increase in the heat transfer rate is observed in the presence of thermal slip parameter with the inclusion of copper nanoparticles. It is also found that the pressure rise enhances in the retrograde pumping region with the increase in inclination angle. It is important to note that slip causes decreases in the trapped bolus. This analysis finds valuable theoretical information for nanoparticle use as a drug agent in the field of bio-inspired applications.

Peristaltic flow of a Jeffery fluid over a porous conduit in the presence of variable liquid properties and convective boundary conditions

2019 ◽  
Vol 6 (2) ◽  
Author(s):  
G. Manjunatha ◽  
C. Rajashekhar ◽  
K. V. Prasad ◽  
Hanumesh Vaidya ◽  
Saraswati
Keyword(s):  
Boundary Conditions ◽  
Frictional Force ◽  
Variable Viscosity ◽  
Pressure Rise ◽  
Velocity Slip ◽  
Peristaltic Flow ◽  
Physical Parameters ◽  
Convective Boundary Conditions ◽  
Convective Boundary ◽  
Closed Form Solutions

The present article addresses the peristaltic flow of a Jeffery fluid over an inclined axisymmetric porous tube with varying viscosity and thermal conductivity. Velocity slip and convective boundary conditions are considered. Resulting governing equations are solved using long wavelength and small Reynolds number approximations. The closed-form solutions are obtained for velocity, streamline, pressure gradient, temperature, pressure rise, and frictional force. The MATLAB numerical simulations are utilized to compute pressure rise and frictional force. The impacts of various physical parameters in the interims for time-averaged flow rate with pressure rise and is examined. The consequences of sinusoidal, multi-sinusoidal, triangular, trapezoidal, and square waveforms on physiological parameters are analyzed and discussed through graphs. The analysis reveals that the presence of variable viscosity helps in controlling the pumping performance of the fluid.

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